364852440960 has 512 divisors, whose sum is σ = 1358954910720. Its totient is φ = 81533337600.

The previous prime is 364852440929. The next prime is 364852441021. The reversal of 364852440960 is 69044258463.

364852440960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251448235 + ... + 251449685.

It is an arithmetic number, because the mean of its divisors is an integer number (2654208810).

Almost surely, 2^364852440960 is an apocalyptic number.

364852440960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364852440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679477455360).

364852440960 is an abundant number, since it is smaller than the sum of its proper divisors (994102469760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

364852440960 is a wasteful number, since it uses less digits than its factorization.

364852440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 364852440960 in words is "three hundred sixty-four billion, eight hundred fifty-two million, four hundred forty thousand, nine hundred sixty".